Generalized morrey spaces associated to Schrodinger operators and applications
Generalized morrey spaces associated to Schrodinger operators and applications
Source title:
Czechoslovak Mathematical Journal, 68(4): 953-986,
2018
(ISI)
Academic year of acceptance:
2018-2019
Abstract:
We first introduce new weighted Morrey spaces related to certain non-negative potentials satisfying the reverse Hölder inequality. Then we establish the weighted strong-type and weak-type estimates for the Riesz transforms and fractional integrals associated to Schrödinger operators. As an application, we prove the Calderón-Zygmund estimates for solutions to Schrödinger equation on these new spaces. Our results cover a number of known results.